English

Isoholonomic Problem and Holonomic Quantum Computation

Quantum Physics 2017-08-23 v1

Abstract

Geometric phases accompanying adiabatic processes in quantum systems can be utilized as unitary gates for quantum computation. Optimization of control of the adiabatic process naturally leads to the isoholonomic problem. The isoholonomic problem in a homogeneous fiber bundle is formulated and solved completely.

Keywords

Cite

@article{arxiv.quant-ph/0505033,
  title  = {Isoholonomic Problem and Holonomic Quantum Computation},
  author = {Shogo Tanimura},
  journal= {arXiv preprint arXiv:quant-ph/0505033},
  year   = {2017}
}

Comments

7 pages, Proceedings of International Conference on Topology in Ordered Phases organized by Hokkaido University in March 2005